1000397952 has 224 divisors, whose sum is σ = 3050256960. Its totient is φ = 326592000.

The previous prime is 1000397947. The next prime is 1000398011. The reversal of 1000397952 is 2597930001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6625077 + ... + 6625227.

Almost surely, 2^1000397952 is an apocalyptic number.

1000397952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525128480).

1000397952 is an abundant number, since it is smaller than the sum of its proper divisors (2049859008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000397952 is an frugal number, since it uses more digits than its factorization.

1000397952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1000397952 is about 31629.0681494097. The cubic root of 1000397952 is about 1000.1326330744.

The spelling of 1000397952 in words is "one billion, three hundred ninety-seven thousand, nine hundred fifty-two".